Slope Intercept Form

Finding Slope

100

What is the equation for slope

(Y2-Y1)/(X2-X1)

200

Find the slope of the line between the following two points. (2,4), (6, 6)

1/2

300

Find the slope of the line between the following two points. (-5, -1), (-1, -9)

-2

400

Find the slope of the line between the following two points. (3, 3), (6, -6)

-3

500

Find the slope of the line between the following two points. (2, 4), (5, 4)

0

Finding Slope and Y-intercept

100

What is the equation for Slope intercept form

y=mx+b

200

Determine the slope and y-intercept of the following equation. y = 3x +5

m=3 b=5

300

Determine the slope and y-intercept of the following equation. y = -2x +9

m=-2 b=9

400

Determine the slope and y-intercept of the following equation. y = -x +3

m=-1 b=3

500

Determine the slope and y-intercept of the following equation. y = 3+x

m=1 b=3

Standard Form to Slope Intercept

100

What is the equation for standard form

Ax + By = C

200

Convert the standard equation 3x + 4y = 24 to slope intercept form

y=3/4 x + 6

300

Convert the standard equation 2x + 5y = 20 to slope-intercept form

y= -2/5 x + 4

400

Convert the standard equation 1/2x + 9y= 18 to slope intercept form

y=-1/18 x +2

500

Find the X and Y intercept of the following equation. 2x + 1/4y = 8

y=-8x+16

Point-Slope Form

100

What is the equation for point slope form?

(y-y₁₎=m(x-x₁)

200

Use the following to write your equation in point slope form. m=3 ; (2, 5)

(y-5)=3(x-2)

300

Use the following to write your equation in point slope form. m=1/2; (-1, -4)

(y+4)=1/2(x+1)

400

Use the following to write your equation in point slope form. m=-2; (-2, -3)

(y+3)=-2(x+2)

500

Use the following to write your equation in point slope form. (3, 4) (4, 7)

(y-4)=3(x-3) or (y-7)=3(x-4)

Point-Slope to Slope Intercept

100

Find the slope of the following (-1, -1), (1, 5). Then use the first point to put in point-slope. Then convert point-slope into slope intercept form

m=5-(-1)/1-(-1)=6/2=3

Point Slope form: y+1=3(x+1)

Slope Intercept: y=3x+2

200

Find the slope of the following points (2, 4), (5, -2). Use first point to convert into point-slope form. Then convert point-slope into slope intercept.

m=-2-4/5-2=-6/3=-2

Point Slope Form: y-4=-2(x-2)

Slope Intercept Form: y=-2x+8

300

Find the slope of the following points (-3, 0), (6,3). Use the first point to convert into point-slope form. Then convert point-slope form into slope intercept.

m=3-0/6-(-3)=3/9=1/3

Point Slope Form: y-0=1/3(x+3)

Slope Intercept Form: y=1/3x +1

400

Find the slope of the following points (-2, 3), (2,7). Use the first point to convert into point-slope form. Then convert point-slope into slope-intercept form.

m=7-3/2-(-2)= 4/4=1

Point Slope Form: y-3=1(x+2)

Slope Intercept Form: y=x+5

500

Find the slope of the following points (4, 1), (8,2). Use the first point to convert to point-slope form. Then convert point-slope form into slope intercept form.

m=2-1/8-4=1/4

Point Slope Form: y-1=1/4(x-4)

Slope Intercept Form: y=1/4x

Parallel and Perpendicular

100

Find the slope of a line parallel to

6x-5y=-20

m=6/5

200

Find the slope of a line perpendicular to 

3x-y=0

m=-1/3

300

Write the slope-intercept form of the equation

through (-1,-4) parallel to y=-3x+1

y=-3x-7

400

Write the slope-intercept form of the equation

through (3,-4) perpendicular to y=3/2x+1

y=-2/3-2

500

Write the slope-intercept form of the equation

through (5,-4) perpendicular to y=5/6x-3

y=-6/5x+2